English

Spectral inequalities in quantitative form

Spectral Theory 2016-04-19 v1 Analysis of PDEs Functional Analysis

Abstract

We review some results about quantitative improvements of sharp inequalities for eigenvalues of the Laplacian.

Keywords

Cite

@article{arxiv.1604.05072,
  title  = {Spectral inequalities in quantitative form},
  author = {Lorenzo Brasco and Guido De Philippis},
  journal= {arXiv preprint arXiv:1604.05072},
  year   = {2016}
}

Comments

71 pages, 4 figures, 6 open problems, 76 references. This is a chapter of the forthcoming book "Shape Optimization and Spectral Theory", edited by Antoine Henrot and published by De Gruyter

R2 v1 2026-06-22T13:34:41.236Z